Because each of the two stimulus components was tagged by a different temporal frequency, we could measure the responses generated by both the attended and the nonattended stimulus components in the same condition at the same time.
Figure 3 shows the spectrum of the response for a single observer.
We concentrated our data analysis on the second and the fourth harmonics because these even harmonics dominate the response to symmetric oscillatory motion. As can be seen in
Figure 4 (top panel), evoked response amplitude at the second harmonic component was maximal at Oz for both TF1 and TF2 stimuli (error bars are ±1 SEM). However, the effect of attention was present on all channels. We did not find an effect of attention at the fourth harmonic.
The effects of attentional instruction, depth order, luminance, and orientation of the bars were analyzed using a multi-variate approach to repeated measures analysis (multi-variate analysis of variance [MANOVA]).
For each main effect and interaction, we computed Hotelling’s T
2 statistic:
which, in our design, is F
(1,n-1)-distributed, where
n = number of subjects; and,
is the mean response vector, where y
i is the 32-element vector of scalp potentials recorded for the full set of permutations of our five design factors, for each subject, j; and,
is the pooled covariance matrix; and c is a contrast vector corresponding to the particular effect being tested.
Data reported below are from the Oz derivation, which was chosen because it had the largest and most reliable response across observers.
We analyzed the data separately for the two harmonics of interest (second, fourth). Earlier pilot studies indicated that temporal frequency and bar orientation variables do not interact with attention. The error bars represented in the graphs are always ±1 SEM.
First, we analyzed the data related to the four different stimulus configurations, collapsing across the attention variable.
Figure 5 plots mean amplitude data for the second and fourth harmonics as a function of frequency (TF1, TF2) and relative luminance. There was no main effect of luminance, nor were there any significant interactions involving the luminance variable (see
Figure 5). However, the same analysis for the variable depth order showed an increment of the second harmonic signal amplitude related to the tagged component that is behind (see
Figure 6). This effect was not present for the fourth harmonic. Overall, there was a significant main effect of depth order (F
(1,10) = 22.4;
p = .0008) with amplitudes larger for responses generated by occluded stimuli. We found a significant interaction involving depth and harmonic (F
(1,10) = 19.36;
p = .001) reflecting depth order effects present only at the second harmonic. Additionally, there was a significant depth-by-frequency interaction (F
(1,10) = 14.1;
p = .004). At the second harmonic, the F2 stimulus generated a relatively large response when it was behind (see
Figure 6).
Knowing the influence of depth order and luminance on the signal baseline, we looked at the effect of the variable attention. The average of the signal amplitude across subjects for each of the 5 occipital channels was significantly larger for the attended component of the stimuli compared to the nonattended one in all of the conditions. The effect of attention as a function of frequency is shown in
Figure 7 for the Oz derivation for both second and fourth harmonic components. Overall, there is a main effect of attention (F
(1,10) = 35.07;
p = .0001) with the attended condition having larger amplitudes. There is an attention-by-harmonic interaction (F
(1,10) = 22.8;
p = .0007) consistent with the presence of an attentional modulation of about 30% at the second harmonic that is absent at the fourth harmonic. There were no other effects involving the attention variable. Importantly, we found that both depth order and luminance have no effect in relation to the signal enhancement due to attention at the second harmonic (F
(1,10) = 0.002;
p = .97 and F
(1,10) = 0.113;
p = .74). Also at the fourth harmonic, none of the variables interact with attention.
There is a possibility, related to the spatial attention hypothesis, that the observers were paying attention just to the tips of the bars (the segments that were not overlapping at any time), say in the immediate area around fixation. It is possible, but unlikely, that attentional modulation of responses generated by this small fraction of the display would be able to swing the total VEP voltage by the amount we measured.
In order to eliminate this possibility, we ran a control experiment in five subjects where we used the same temporal frequency of the bars and motion amplitude as in the original experiment. The difference was that in this experiment the bars themselves were shortened so that they completely overlapped over the stimulus cycle (1.2 deg motion of 1.2 deg bars). The observers were instructed to attend to either the vertical bars (F1) or the horizontal bars (F2) in separate conditions. We used only one of the configurations illustrated in
Figure 1. Responses were measured at the second and fourth harmonics of the two component frequencies, and we pooled that data across temporal frequency (F1/F2) for attended and nonattended conditions. We found that observers were still able to modulate the magnitude of their responses: responses averaged 60% larger at the second harmonic for attended versus nonattended stimuli (
p < .001; paired comparison
t test). There was no significant effect of attention at the fourth harmonic (
p = .5029), replicating the results of the first experiment. For spatial attention to act on these stimuli, the spotlight would have to be movable both with high precision (to avoid the region of the nonattended bar) and with great speed (because the faster of the bars was moving at 3 Hz).